Question

ECE 20100 HW 18 due 11/2/20 (1) Determine $i(t)$ and $v(t)$ for all $t$. You can use previous results. [Hint: Find the DE for $i(t)$ for $t > 0$ and solve it. Then use $i(t)$ to derive $v(t)$ for $t > 0$.] 1.5 H i + 3 $u(-t)$ V + $u(t)$ A $v = (1/12)$ F 2 (2) Find $i(0^+)$, $v(0^+)$, $rac{di(0^+) }{dt}$, $rac{dv(0^+) }{dt}$, $i(\infty)$, $v(\infty)$. i + $(1/13)$ H 0.25 F $v$ 6.5 $u(-t)$ A + 2 $u(t)$ V 8/13

          ECE 20100
HW 18
due 11/2/20
(1) Determine $i(t)$ and $v(t)$ for all $t$. You can use previous results. [Hint: Find the
DE for $i(t)$ for $t > 0$ and solve it. Then use $i(t)$ to derive $v(t)$ for $t > 0$.]
1.5 H
i
+ 
3 $u(-t)$ V + 
$u(t)$ A $v = (1/12)$ F
2
(2) Find $i(0^+)$, $v(0^+)$, $rac{di(0^+) }{dt}$, $rac{dv(0^+) }{dt}$, $i(\infty)$, $v(\infty)$.
i
+
$(1/13)$ H
0.25 F
$v$
6.5 $u(-t)$ A
+
2 $u(t)$ V
8/13

ECE 20100
HW 18
due 11/2/20
(1) Determine i(t) and v(t) for all t. You can use previous results. [Hint: Find the
DE for i(t) for t > 0 and solve it. Then use i(t) to derive v(t) for t > 0.]
1.5 H
i
+
3 u(-t) V +
u(t) A v = (1/12) F
2
(2) Find i(0^+), v(0^+), racdi(0^+) dt, racdv(0^+) dt, i(∞), v(∞).
i
+
(1/13) H
0.25 F
v
6.5 u(-t) A
+
2 u(t) V
8/13

Added by Douglas H.

University Physics with Modern Physics

Hugh D. Young 14th Edition

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Solved by Expert Prabhat Tyagi

Step 1

We are given the following circuit elements: - Inductor with inductance L = 1.5H - Step function u(t) with amplitude 3V - Current source with amplitude 1/12A - Capacitor with capacitance C = 1/12F - Voltage source with amplitude 2V Show more…

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ECE 20100 HW18 due 11/2/20 Determine i(t) and v(t) for all t. You can use previous results. [Hint: Find the DE for i(t) for t>0 and solve it. Then use it to derive v for t>0.] 1.5H 3 u-tV u(t)A 1/12F 2 Find i0+v0. di0/dt dv0/dt iv (1/13H 0.25F 6.5u-tA 2 u(t) V 8/13 WW